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Finding the Fourth Proportional to 6,366.24, 9,562.80 and 3,902.40

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Solution

The fourth proportional to 6,366.24, 9,562.80 and 3,902.40 is: 5,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.24 : 9,562.80 = 3,902.40 : x
  2. Step 2: Convert to fraction form
    6,366.24/9,562.80 = 3,902.40/x
  3. Step 3: Cross multiply
    6,366.24x = 9,562.80 × 3,902.40
  4. Step 4: Simplify right side
    6,366.24x = 37,317,870.72
  5. Step 5: Solve for x
    x = 37,317,870.72/6,366.24
  6. Step 6: Final answer
    x = 5,861.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.